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423440120 = 235231493089
BaseRepresentation
bin11001001111010…
…010111011111000
31002111202222122102
4121033102323320
51331400040440
6110003442532
713331116205
oct3117227370
91074688572
10423440120
111a8025914
12b9986448
136995a7ac
1440346cac
1527293b15
hex193d2ef8

423440120 has 64 divisors (see below), whose sum is σ = 1001160000. Its totient is φ = 160872448.

The previous prime is 423440119. The next prime is 423440123. The reversal of 423440120 is 21044324.

It is a super-2 number, since 2×4234401202 = 358603070451228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 423440092 and 423440101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423440123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135536 + ... + 138624.

It is an arithmetic number, because the mean of its divisors is an integer number (15643125).

Almost surely, 2423440120 is an apocalyptic number.

423440120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500580000).

423440120 is an abundant number, since it is smaller than the sum of its proper divisors (577719880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423440120 is a wasteful number, since it uses less digits than its factorization.

423440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 423440120 is about 20577.6607028107. The cubic root of 423440120 is about 750.9263339214.

Adding to 423440120 its reverse (21044324), we get a palindrome (444484444).

The spelling of 423440120 in words is "four hundred twenty-three million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 149 184 230 298 460 596 745 920 1192 1490 2980 3089 3427 5960 6178 6854 12356 13708 15445 17135 24712 27416 30890 34270 61780 68540 71047 123560 137080 142094 284188 355235 460261 568376 710470 920522 1420940 1841044 2301305 2841880 3682088 4602610 9205220 10586003 18410440 21172006 42344012 52930015 84688024 105860030 211720060 423440120